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Simplifying -7 + 3t + -9t = 12t + -5 Combine like terms: 3t + -9t = -6t -7 + -6t = 12t + -5 Reorder the terms: -7 + -6t = -5 + 12t Solving -7 + -6t = -5 + 12t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-12t' to each side of the equation. -7 + -6t + -12t = -5 + 12t + -12t Combine like terms: -6t + -12t = -18t -7 + -18t = -5 + 12t + -12t Combine like terms: 12t + -12t = 0 -7 + -18t = -5 + 0 -7 + -18t = -5 Add '7' to each side of the equation. -7 + 7 + -18t = -5 + 7 Combine like terms: -7 + 7 = 0 0 + -18t = -5 + 7 -18t = -5 + 7 Combine like terms: -5 + 7 = 2 -18t = 2 Divide each side by '-18'. t = -0.1111111111 Simplifying t = -0.1111111111
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